Looking at the FSM, the blend door controller is the same as used in TJs after the cable operation was removed.
The motors, in TJs at least, can gum up due to old grease and stop working. The motors can be removed, cleaned and regreased. Here's the page from the FSM describing the blend door removal. Bear in mind that this will be for a LHD model so where left and right are mentioned I would assume they are reversed, if like the TJ the HVAC system in the RHD is a mirror image of the LHD.